onesample t independent sample t paired t oneway ANOVA corre
one-sample t independent sample t paired t one-way ANOVA correlation
Note that each statistic will be used only once and every test statistic will be used.
1. The American Heart Association reports that a healthy cholesterol level is 200 or below. A physician in Indiana wonders if her patients have cholesterol levels that are significantly different than 200. To answer this question, she records the cholesterol levels of a sample of 112 of her patients. The mean for the sample was 215 with a standard deviation of 15. A statistical analysis indicated that this difference was significant.
2. The physician is concerned about this finding and turns to the research literature to determine what advice she should give her patients. The first study she finds was done to determine if exercise is associated with lower cholesterol levels. To assess the relationship between these variables, she measures the cholesterol levels of 145 patients and asks them to record the average number of minutes they spend exercising in an average week.
3. In another study on the relationship between exercise and cholesterol levels, a researcher randomly assigned 50 men with high cholesterol to either an exercise group or a control group. People in the exercise group were instructed to engage in cardiovascular exercise for one hour a day for one month. People in the control group were told not to exercise for one month. At the end of the month the cholesterol levels of the two groups were compared.
4. The researchers are encouraged by the results of these studies and wonder how cardiovascular exercise compares to a popular drug for lowering cholesterol levels. To test the relative efficacy of these treatments, 75 people with high cholesterol levels are randomly assigned to one of three “treatment” groups: cardiovascular exercise, cholesterol lowering drug, and a placebo group. After three months of treatment, cholesterol levels are recorded for all three groups. The results indicated that both the exercise and drug groups had significantly lower cholesterol levels than the placebo group. However, the drug and exercise groups were not significantly different.
5. A physiotherapist measures quadriceps muscle mass in each of her 25 post- surgical knee ligament patients. Six months after they have begun physiotherapy, she measures muscle mass again. She wishes to know if the therapy increased mean muscle mass. What parametric test would you choose to answer the question?
Solution
1) one-sample t
2) correlation
3) paired t
4)one-way ANOVA
5)independent sample t
